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Bc=2x+1 Ab=4x-3 if ac is 22 then what is ab what is bc

User Dbellizzi
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Answer:AB = 13 and BC = 9.

Explanation:

We can use the fact that in a triangle ABC, the length of one side is less than the sum of the other two sides, and greater than the difference of the other two sides.

So, we have:

AC < AB + BC ...(1)

AC > AB - BC ...(2)

BC < AB + AC ...(3)

BC > AC - AB ...(4)

We are given that AC = 22 and BC = 2x + 1 and AB = 4x - 3.

Substituting these values in equation (1), we get:

22 < (4x - 3) + (2x + 1)

Simplifying the above inequality, we get:

22 < 6x - 2

24 < 6x

x > 4

Substituting the value of x in BC, we get:

BC = 2x + 1 = 2(4) + 1 = 9

Substituting the value of x in AB, we get:

AB = 4x - 3 = 4(4) - 3 = 13

Therefore, AB = 13 and BC = 9.

User DamirR
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